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42347269800 = 23355211113701
BaseRepresentation
bin100111011100000110…
…000000111010101000
311001022020212012100000
4213130012000322220
51143211400113200
631242024543000
73026255565663
oct473406007250
9131266765300
1042347269800
1116a60a25640
12825a021a60
133cbb4681c4
14209a2226da
15117cae4300
hex9dc180ea8

42347269800 has 576 divisors, whose sum is σ = 162546471360. Its totient is φ = 10160640000.

The previous prime is 42347269751. The next prime is 42347269817. The reversal of 42347269800 is 896274324.

42347269800 is a `hidden beast` number, since 42 + 3 + 472 + 69 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60409450 + ... + 60410150.

It is an arithmetic number, because the mean of its divisors is an integer number (282198735).

Almost surely, 242347269800 is an apocalyptic number.

42347269800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42347269800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81273235680).

42347269800 is an abundant number, since it is smaller than the sum of its proper divisors (120199201560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42347269800 is a wasteful number, since it uses less digits than its factorization.

42347269800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42347269800 in words is "forty-two billion, three hundred forty-seven million, two hundred sixty-nine thousand, eight hundred".